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427534764 = 2232331107467
BaseRepresentation
bin11001011110111…
…010100110101100
31002210111000102220
4121132322212230
51333422103024
6110231315340
713410662016
oct3136724654
91083430386
10427534764
111aa372218
12bb21bb50
136a762467
1440ad11b6
1527801e79
hex197ba9ac

427534764 has 96 divisors (see below), whose sum is σ = 1086898176. Its totient is φ = 130405440.

The previous prime is 427534763. The next prime is 427534771. The reversal of 427534764 is 467435724.

It is not an unprimeable number, because it can be changed into a prime (427534763) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 915259 + ... + 915725.

It is an arithmetic number, because the mean of its divisors is an integer number (11321856).

Almost surely, 2427534764 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 427534764, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (543449088).

427534764 is an abundant number, since it is smaller than the sum of its proper divisors (659363412).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

427534764 is a wasteful number, since it uses less digits than its factorization.

427534764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 635 (or 633 counting only the distinct ones).

The product of its digits is 564480, while the sum is 42.

The square root of 427534764 is about 20676.9137929237. The cubic root of 427534764 is about 753.3390465191.

The spelling of 427534764 in words is "four hundred twenty-seven million, five hundred thirty-four thousand, seven hundred sixty-four".

Divisors: 1 2 3 4 6 12 23 31 46 62 69 92 93 107 124 138 186 214 276 321 372 428 467 642 713 934 1284 1401 1426 1868 2139 2461 2802 2852 3317 4278 4922 5604 6634 7383 8556 9844 9951 10741 13268 14477 14766 19902 21482 28954 29532 32223 39804 42964 43431 49969 57908 64446 76291 86862 99938 128892 149907 152582 173724 199876 228873 299814 305164 332971 457746 599628 665942 915492 998913 1149287 1331884 1549039 1997826 2298574 3098078 3447861 3995652 4597148 4647117 6196156 6895722 9294234 13791444 18588468 35627897 71255794 106883691 142511588 213767382 427534764